Chapter 6.3, Problem 104AYU

What is the range of the cotangent function?

To determine

To find: The range of the cotangent function.

Answer to Problem 104AYU

Solution:

$\left(-\infty ,\infty \right)$

Explanation of Solution

Given:

$y=\text{cot}x$

Calculation:

From the graph the cotangent function the domain is all real numbers except $0,\pm \pi ,\pm 3\pi ,\pm 5\pi , \dots ,\left(\text{or in degrees}:0,\pm 180°,\pm 360°,\dots \right)$, where the cotangent function is undefined. The range of the tangent function is all real numbers.